How do you derive a justified EV/Sales multiple, and when is it more useful than EV/EBITDA?

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AcadiFi · Accepted Answer

EV/Sales is particularly useful when EBITDA is negative or volatile, making EV/EBITDA meaningless. Deriving the justified version connects the multiple to profit margins and growth. **Derivation:** Start from: EV = FCFF_1 / (WACC - g) Express FCFF in terms of Sales: FCFF = Sales x Operating Margin x (1 - T) - Reinvestment FCFF = Sales x [PM x (1-T) - Reinvestment Rate] Divide by Sales: **EV/Sales = [PM x (1-T) - Reinvestment Rate] / (WACC - g)** Where PM = EBITDA margin or operating margin (depending on how you define FCFF). **Key Insight:** The justified EV/Sales multiple is driven by the **profit margin**. This is why high-margin software companies trade at 10-20x sales while thin-margin retailers trade at 0.3-0.5x sales. **Worked Example:** Nebula Cloud Services: - Revenue: $800M - EBITDA margin: 35% - Tax rate: 21% - Reinvestment rate (net CapEx + WC change as % of sales): 8% - WACC: 10% - Growth rate: 5% FCFF/Sales = 0.35 x (1 - 0.21) - 0.08 = 0.2765 - 0.08 = 0.1965 Justified EV/Sales = 0.1965 / (0.10 - 0.05) = 0.1965 / 0.05 = **3.93x** **Now Compare to a Low-Margin Business:** Atlas Wholesale Distribution: - EBITDA margin: 4% - Tax rate: 21% - Reinvestment rate: 2% - WACC: 8% - Growth rate: 2% FCFF/Sales = 0.04 x 0.79 - 0.02 = 0.0316 - 0.02 = 0.0116 Justified EV/Sales = 0.0116 / (0.08 - 0.02) = 0.0116 / 0.06 = **0.19x** **The margin difference explains nearly all of the valuation gap.** Nebula's justified EV/Sales is 20x higher than Atlas's, driven almost entirely by the 35% vs. 4% EBITDA margin. ```mermaid graph LR A[Justified EV/Sales] --> B[Profit Margin
Primary Driver] A --> C[Growth Rate g
Increases Multiple] A --> D[WACC
Decreases Multiple] A --> E[Reinvestment Rate
Decreases Multiple] A --> F[Tax Rate
Decreases Multiple] B --> G[High Margin = High Multiple
SaaS: 3-10x Sales] B --> H[Low Margin = Low Multiple
Retail: 0.2-0.5x Sales] style B fill:#c9a84c,color:#000 ``` **When EV/Sales Beats EV/EBITDA:** - Pre-profit companies (biotech, early SaaS) - Companies with unusual depreciation/amortization - Cross-border comparisons where accounting differences distort EBITDA - Turnaround situations where current margins don't reflect potential Practice multiple derivations in our CFA Level II equity course.

How do you derive a justified EV/Sales multiple, and when is it more useful than EV/EBITDA?

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